The stochastic logarithmic Schrödinger equation

详细信息    查看全文

• 作者：Viorel Barbu^a ; ¹ ; ^{vbarbu41@gmail.com} ; Michael Rö ; ckner^b ; ² ; ^{roeckner@math.uni-bielefeld.de} ; Deng Zhang^b ; ^c ; ³ ; ^{zhangdeng@amss.ac.cn}
• 关键词：60H15 ; 47H05 ; 47J05
• 刊名：Journal de Mathématiques Pures et Appliquées
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：107
• 期：2
• 页码：123-149
• 全文大小：522 K
• 卷排序：107

文摘

In this paper we prove global existence and uniqueness of solutions to the stochastic logarithmic Schrödinger equation with linear multiplicative noise. Our approach is mainly based on the rescaling approach and the method of maximal monotone operators. In addition, uniform estimates of solutions in the energy space H1(Rd)H1(Rd) and in an appropriate Orlicz space are also obtained here.